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Simplifying 7a + -1b + -4x = 3b + 5x + -2a Reorder the terms: 7a + -1b + -4x = -2a + 3b + 5x Solving 7a + -1b + -4x = -2a + 3b + 5x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 7a + -1b + 2a + -4x = -2a + 3b + 2a + 5x Reorder the terms: 7a + 2a + -1b + -4x = -2a + 3b + 2a + 5x Combine like terms: 7a + 2a = 9a 9a + -1b + -4x = -2a + 3b + 2a + 5x Reorder the terms: 9a + -1b + -4x = -2a + 2a + 3b + 5x Combine like terms: -2a + 2a = 0 9a + -1b + -4x = 0 + 3b + 5x 9a + -1b + -4x = 3b + 5x Add 'b' to each side of the equation. 9a + -1b + b + -4x = 3b + b + 5x Combine like terms: -1b + b = 0 9a + 0 + -4x = 3b + b + 5x 9a + -4x = 3b + b + 5x Combine like terms: 3b + b = 4b 9a + -4x = 4b + 5x Add '4x' to each side of the equation. 9a + -4x + 4x = 4b + 5x + 4x Combine like terms: -4x + 4x = 0 9a + 0 = 4b + 5x + 4x 9a = 4b + 5x + 4x Combine like terms: 5x + 4x = 9x 9a = 4b + 9x Divide each side by '9'. a = 0.4444444444b + x Simplifying a = 0.4444444444b + x
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